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On the finite dimensionality of every irreducible unitary representation of a compact group


Author: Leopoldo Nachbin
Journal: Proc. Amer. Math. Soc. 12 (1961), 11-12
MSC: Primary 46.80; Secondary 22.00
DOI: https://doi.org/10.1090/S0002-9939-1961-0123197-5
MathSciNet review: 0123197
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References [Enhancements On Off] (What's this?)

  • [1] F. Bruhat, Algèbres de Lie et groupes de Lie, Textos de Matemática no. 3, Recife (1959). MR 0141734 (25:5131)
  • [2] P. Cartier, Structure topologique des groupes de Lie généraux, Séminaire Sophus Lie, le année, Exposé 22, Paris (1955).
  • [3] A. Hurevitsch, Unitary representations in Hilbert space of a compact topological group, Rec. Math. (Mat. Sbornik) n.s. vol. 13 (55) (1943) pp. 79-86. MR 0011309 (6:147c)
  • [4] P. Koosis, An irreducible unitary representation of a compact group is finite dimensional, Proc. Amer. Math. Soc. vol. 8 (1957) pp. 712-715. MR 0087888 (19:430c)
  • [5] A. Weil, L'intégration dans les groupes topologiques et ses applications, Paris, 1940.

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DOI: https://doi.org/10.1090/S0002-9939-1961-0123197-5
Article copyright: © Copyright 1961 American Mathematical Society

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